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1022203312201 is a prime number
BaseRepresentation
bin11101110000000000001…
…00001011100001001001
310121201111002212112212101
432320000010023201021
5113221433021442301
62101332124313401
7133565102535451
oct16700004134111
93551432775771
101022203312201
11364572136a95
121461399a2861
13755162945b6
14376911ccd61
151b8cab55701
hexee0010b849

1022203312201 has 2 divisors, whose sum is σ = 1022203312202. Its totient is φ = 1022203312200.

The previous prime is 1022203312199. The next prime is 1022203312241. The reversal of 1022203312201 is 1022133022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 538350908176 + 483852404025 = 733724^2 + 695595^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022203312201 - 21 = 1022203312199 is a prime.

It is a super-2 number, since 2×10222033122012 (a number of 25 digits) contains 22 as substring.

Together with 1022203312199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1022203312241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511101656100 + 511101656101.

It is an arithmetic number, because the mean of its divisors is an integer number (511101656101).

Almost surely, 21022203312201 is an apocalyptic number.

It is an amenable number.

1022203312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022203312201 is an equidigital number, since it uses as much as digits as its factorization.

1022203312201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1022203312201 its reverse (1022133022201), we get a palindrome (2044336334402).

The spelling of 1022203312201 in words is "one trillion, twenty-two billion, two hundred three million, three hundred twelve thousand, two hundred one".